I don't think its been mentioned, but it seems for Fuji users, C1 express (albeit with a different name) is still going to be available.
FUJIFILM RAW CONVERTER We just reported how Capture One is going to discontinue the free version Capture One Express on January 30. But there is an alternative. As pointed out to me by fellow FR-readers (thanks), Capture One is offering the FUJIFILM RAW CONVERTER (FRC) for Fujifilm users only...
www.fujirumors.com
There are links to official C1 pages from this link.
I'm not sure about other camera specific versions, but Fuji had (and presumably still do) a commercial agreement with Capture One, and it was Fuji that developed the Fuji film simulations for C1.,
When the deal with C1 was done, Fuji had a gushing press release about how pleased they were to have a deal with such a high end raw processor that they felt worthy of their cameras. Or words to that effect, I only remember the "feel" of the press release, not the actual words.